Thanks to both of you. I got it sorted by changing DTMF Method to "inband". It had been set to "auto".
Can I assume that "inband" will necessarily work with all voicemail trees I might encounter—my bank, another pharmacy, or a random corporation??
Or can I look forward to changing that setting repeatedly, depending on who I call?
Or if I move away from Google Voice and go with Callcentric or whoever--which is looking more likely considering the upheaval regarding Google Voice and XMPP next May?
Dircom: I called that "DTMF echo" test number you referred to and poked all numbers on my phone's keypad. This is with the default "auto" setting in my DTMF Method configuration, not "inband". ALL numbers were repeated back to me correctly but SOME numbers were repeated back with an echo, others had no echo.
After I changed the setting to "inband", I called the test number again and had the same results—all correctly recognized, some repeated back with no echo, some with echo.
Normal expected behavior?